Adapted Basic Connections On the Big-Tangent Manifold

Authors

Adelina Manea, Department of Mathematics and Computer Science, University Transilvania of Bras¸ov, Bras¸ov 500091, Str. Iuliu Maniu 50, RomˆaniaFollow
Cristian Ida, Department of Mathematics and Computer Science, University Transilvania of Bras¸ov, Bras¸ov 500091, Str. Iuliu Maniu 50, RomˆaniaFollow

Author Country (or Countries)

Romˆania

Abstract

In this paper we give local characterisations for basic connections adapted to vertical foliation and subfoliations on the big-tangent manifold T M of a Riemannian space (M,g). Using some associated Vr˘anceanu connections we identify a triple of basic connections adapted to vertical subfoliations. Finally, we give an application of these connections in study of Lagrangians on the big-tangent manifold and also, we write in a simple form the equation of motion for scalar fields on the big-tangent manifold.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100605

Recommended Citation

Manea, Adelina and Ida, Cristian (2016) "Adapted Basic Connections On the Big-Tangent Manifold," Applied Mathematics & Information Sciences: Vol. 10: Iss. 6, Article 5.
DOI: http://dx.doi.org/10.18576/amis/100605
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss6/5